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Simplifying -10(-4 + 3x) + 9 = -3(1 + 10x) + 52 (-4 * -10 + 3x * -10) + 9 = -3(1 + 10x) + 52 (40 + -30x) + 9 = -3(1 + 10x) + 52 Reorder the terms: 40 + 9 + -30x = -3(1 + 10x) + 52 Combine like terms: 40 + 9 = 49 49 + -30x = -3(1 + 10x) + 52 49 + -30x = (1 * -3 + 10x * -3) + 52 49 + -30x = (-3 + -30x) + 52 Reorder the terms: 49 + -30x = -3 + 52 + -30x Combine like terms: -3 + 52 = 49 49 + -30x = 49 + -30x Add '-49' to each side of the equation. 49 + -49 + -30x = 49 + -49 + -30x Combine like terms: 49 + -49 = 0 0 + -30x = 49 + -49 + -30x -30x = 49 + -49 + -30x Combine like terms: 49 + -49 = 0 -30x = 0 + -30x -30x = -30x Add '30x' to each side of the equation. -30x + 30x = -30x + 30x Combine like terms: -30x + 30x = 0 0 = -30x + 30x Combine like terms: -30x + 30x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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